Compact Bell inequalities for multipartite experiments

TL;DR

This paper introduces a systematic method to construct compact multipartite Bell inequalities, reducing experimental complexity in multi-photon experiments by involving fewer correlation functions.

Contribution

It presents a unified framework for generating all CHSH-type Bell inequalities with increasing observers, including novel compact inequalities for eight observers.

Findings

Proposed Bell inequalities involve only four correlation functions.

These inequalities are easier to test experimentally.

Applicable to multi-photon experiments with reduced effort.

Abstract

A method for construction of the multipartite Clauser-Horne-Shimony-Holt (CHSH) type Bell inequalities, for the case of local binary observables, is presented. The standard CHSH-type Bell inequalities can be obtained as special cases. A unified framework to establish all kinds of CHSH-type Bell inequalities by increasing step by step the number of observers is given. As an application, compact Bell inequalities, for eight observers, involving just four correlation functions are proposed. They require much less experimental effort than standard methods and thus is experimentally friendly in multi-photon experiments.